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Finding the Fourth Proportional to 15,767.80, 23,709.30 and 13,233.40

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Solution

The fourth proportional to 15,767.80, 23,709.30 and 13,233.40 is: 19,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.80 : 23,709.30 = 13,233.40 : x
  2. Step 2: Convert to fraction form
    15,767.80/23,709.30 = 13,233.40/x
  3. Step 3: Cross multiply
    15,767.80x = 23,709.30 × 13,233.40
  4. Step 4: Simplify right side
    15,767.80x = 313,754,650.62
  5. Step 5: Solve for x
    x = 313,754,650.62/15,767.80
  6. Step 6: Final answer
    x = 19,898.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.